Compound Inequalities

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Tags

CCSS.HSA.REI.D.12

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.HSA.REI.D.12

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

2<x+2<5

• 0<x<3
• 4<x<7
• 4<x<3
• 0<x<7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

x+2<-4 or -5x<-15

• -6<x<3
• x<-3 and x>6
• x<-6 or x>3
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4
• x ≥ -5 or x < 4
• x > -5 and x ≤ 4
• x ≥ -5 and x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 
• x < 2  or  x > 5
• x < -2  and  x > 5 
• x < 2  and  x > 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3